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Logical connectives can be used to link zero or more statements, so one can speak about n-ary logical connectives. The boolean constants True and False can be thought of as zero-ary operators. Negation is a unary connective, and so on.
Coordinating conjunctions, also called coordinators, are conjunctions that join, or coordinate, two or more items (such as words, main clauses, or sentences) of equal syntactic importance. In English, the mnemonic acronym FANBOYS can be used to remember the most commonly used coordinators : for , and , nor , but , or , yet , and so . [ 13 ]
Venn diagram of (true part in red) In logic and mathematics, the logical biconditional, also known as material biconditional or equivalence or bidirectional implication or biimplication or bientailment, is the logical connective used to conjoin two statements and to form the statement "if and only if" (often abbreviated as "iff " [1]), where is known as the antecedent, and the consequent.
Many different equivalent complete axiom systems have been formulated. They differ in the choice of basic connectives used, which in all cases have to be functionally complete (i.e. able to express by composition all n-ary truth tables), and in the exact complete choice of axioms over the chosen basis of connectives.
Relationships between predicates can be stated using logical connectives. For example, the first-order formula "if x is a philosopher, then x is a scholar", is a conditional statement with "x is a philosopher" as its hypothesis, and "x is a scholar" as its conclusion, which again needs specification of x in order to have a definite truth value.
[2] [34] Sentential connectives are any linguistic particles that bind sentences to create a new compound sentence, [2] [34] or that inflect a single sentence to create a new sentence. [2] A logical connective, or propositional connective, is a kind of sentential connective with the characteristic feature that, when the original sentences it ...
Sentences are then built up out of atomic sentences by applying connectives and quantifiers. A set of sentences is called a theory ; thus, individual sentences may be called theorems . To properly evaluate the truth (or falsehood) of a sentence, one must make reference to an interpretation of the theory.
Another example of an interpersonal discourse marker is the Yiddish marker nu, also used in Modern Hebrew and other languages, often to convey impatience or to urge the listener to act (cf. German cognate nun, meaning 'now' in the sense of 'at the moment being discussed', but contrast Latin etymological cognate nunc, meaning 'now' in the sense of 'at the moment in which discussion is occurring ...